Showing math.APShow all
3 papers · 1 filter
math.AP2024
Global well-posedness and scattering for the defocusing septic one-dimensional NLS via new smoothing and almost Morawetz estimates
Zachary Lee, Xueying Yu
In this paper, we show that the one dimensional septic nonlinear Schrödinger equation is globally well-posed and scatters in when . We prove new smoot…
math.AP2023
On well-posedness results for the cubic-quintic NLS on
Yongming Luo, Xueying Yu, Haitian Yue +1
We consider the periodic cubic-quintic nonlinear Schrödinger equation \begin{align}\label{cqnls_abstract} (i\partial_t +Δ)u=μ_1 |u|^2 u+μ_2 |u|^4 u\tag{CQNLS} \end{align} on the th…
math.AP2022
Modified Scattering of Cubic Nonlinear Schrödinger Equation on Rescaled Waveguide Manifolds
Bobby Wilson, Xueying Yu
We use modified scattering theory to demonstrate that small-data solutions to the cubic nonlinear Schrödinger equation on rescaled waveguide manifolds, $\mathbb{R} \times \mathbb{T…